Off-line scheduling with forbidden zones

  • Authors:

  • Amir Abdekhodaee;Andrew Wirth

  • Affiliations:

  • Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, VIC 3122, Australia;Department of Mechanical Engineering, The University of Melbourne, VIC 3010, Australia

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2013

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Abstract

In various manufacturing and computing environments there may be certain time intervals, during which processing may continue but may not be initiated. We examine the problem of off-line scheduling in the presence of such forbidden zones. The problem is closely related to a one-dimensional open-end bin packing problem. We prove that the decision version of the problem is strongly NP-complete and then establish bounds on the asymptotic performance ratio of an O(nlogn) approximation algorithm for a special case, and test it numerically. We present a further heuristic for a non-regular case and test it empirically.